Original title:
Computational and analytical a posteriori error estimates for finite element methods
Authors:
Segeth, Karel Document type: Papers Conference/Event: International conference Presentation of mathematics '09, Liberec (CZ), 2009-09-14 / 2009-09-16
Year:
2010
Language:
eng Abstract:
The analytical a posteriori error estimates are oriented to the use in h-methods, are usually constructed only for lowest-order polynomial approximation, and often depend on unknown constatns or functions. In this review paper, we present several error estimation procedures for some particular linear partial differential problems with special regards to the needs of the hp-method. We compare the advantages and drawbacks of a posteriori error estimators including computational ones.
Keywords:
a posteriori error estimator; computational error estimate; hp-adaptive finite element method; reference solution Project no.: CEZ:AV0Z10190503 (CEP), IAA100190803 (CEP) Funding provider: GA AV ČR Host item entry: Proceedings of International Conference Presentation of Mathematics '09, ISBN 978-80-7372-578-5
Institution: Institute of Mathematics AS ČR
(web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences. Original record: http://hdl.handle.net/11104/0192417